- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Dynamic non-commutative logic
Journal of Logic, Language and Information 19 (1):33-51 (2010)
Abstract
A first-order dynamic non-commutative logic, which has no structural rules and has some program operators, is introduced as a Gentzen-type sequent calculus. Decidability, cut-elimination and completeness theorems are shown for DN or its fragments. DN is intended to represent not only program-based, resource-sensitive, ordered, sequence-based, but also hierarchical reasoning.My notes
Similar books and articles
Sequential Dynamic Logic.Alexander Bochman & Dov M. Gabbay - 2012 - Journal of Logic, Language and Information 21 (3):279-298.
Substructural implicational logics including the relevant logic E.Ryo Kashima & Norihiro Kamide - 1999 - Studia Logica 63 (2):181-212.
A proof of standard completeness for Esteva and Godo's logic MTL.Sándor Jenei & Franco Montagna - 2002 - Studia Logica 70 (2):183-192.
Quantized linear logic, involutive quantales and strong negation.Norihiro Kamide - 2004 - Studia Logica 77 (3):355-384.
Synchronized Linear-Time Temporal Logic.Heinrich Wansing & Norihiro Kamide - 2011 - Studia Logica 99 (1-3):365-388.
Analytics
Added to PP
2009-09-21
Downloads
53 (#303,597)
6 months
6 (#531,961)
2009-09-21
Downloads
53 (#303,597)
6 months
6 (#531,961)
Historical graph of downloads
Citations of this work
References found in this work
The Mathematics of Sentence Structure.Joachim Lambek - 1958 - Journal of Symbolic Logic 65 (3):154-170.
Semantical Considerations on Floyd-Hoare Logic.Vaughan R. Pratt, Michael J. Fischer, Richard E. Ladner, Krister Segerberg, Tadeuz Traczyk & Rohit Parikh - 1986 - Journal of Symbolic Logic 51 (1):225-227.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-7c88c7cdf7-zn7n9 uwo